Large deviations in linear control systems with nonzero initial conditions

DOI10.1134/S0005117915060028zbMath1321.93039OpenAlexW587086020MaRDI QIDQ500170

P. S. Shcherbakov, M. V. Khlebnikov, A. A. Tremba, Boris T. Polyak, Georgi V. Smirnov

Publication date: 1 October 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117915060028

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Upper bounds of the deviations in linear dynamical system with bounded disturbances ⋮ Synthesis of invariant nonlinear single-channel sigmoid feedback tracking systems ensuring given tracking accuracy ⋮ Large deviations for non-zero initial conditions in linear systems ⋮ Linear matrix inequalities in control systems with uncertainty ⋮ Optimal control of maximum output deviations of a linear time-varying system on a finite horizon ⋮ A probabilistic point of view on peak effects in linear difference equations ⋮ Suboptimal robust stabilization of an unknown autoregressive object with uncertainty and offset external perturbation ⋮ Upper bounds on peaks in discrete-time linear systems ⋮ Finite-horizon multi-objective generalized \(H_2\) control with transients ⋮ Peak effects in stable linear difference equations ⋮ Control of dynamical plants with a guarantee for the controlled signal to stay in a given set ⋮ Transient response in matrix discrete-time linear systems ⋮ Upper bounds on large deviations in linear systems in the presence of uncertainty ⋮ Algorithm for robustness estimation of large deviations in linear discrete-time systems ⋮ Nonlinear feedback control providing plant output in given set

Uses Software

• CVX

Cites Work

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